科研之友
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摘要
De Concini and Procesi have defined the wonderful compactification (X) over bar of a symmetric space X = G/G(sigma) where G is a complex semisimple adjoint group and G(sigma) the subgroup of fixed points of G by an involution sigma. It is a closed subvariety of a Grassmannian of the Lie algebra g of G. In this paper we prove that, when the rank of X is equal to the rank of G, the variety is defined by linear equations. The set of equations expresses the fact that the invariant alternate trilinear form w on g vanishes on the (-1)-eigenspace of sigma.
- 出版日期2011
